直觉I-fuzzy拓扑空间中的(r,s)直觉模糊紧

详细信息    查看全文 | 推荐本文 |

英文篇名：(r, s) Intuitionistic Fuzzy Compactness in Intuitionistic I-Fuzzy Topological Spaces 作者：张春芝 ; 姚尧 ; 王瑞英 英文作者：ZHANG Chun-zhi;YAO Yao;WANG Rui-ying;Faculty of Mathematics, Xinjiang Teachers College;Quwo County Licun Primary School;College of Mathematical Science,Inner Mongolia Normal Universty; 关键词：(r ; s)直觉模糊半正规 ; 直觉弱开映射 ; 直觉弱闭映射 ; (r ; s)直觉模糊紧 ; (r ; s)直觉模糊殆紧 ; (r ; s)直觉模糊几乎紧 英文关键词：(r,s)intuitionistic fuzzy semi-regular;;intuitionistic weakly open functions;;intuitionistic weakly closed functions;;(r,s)intuitionistic fuzzy compactness;;(r,s)intuitionistic fuzzy almost compactness;;(r,s)intuitionistic fuzzy near compactness 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：新疆师范高等专科学校数理学院;山西省曲沃县里村小学;内蒙古师范大学数学科学学院; 出版日期：2019-02-23 出版单位：数学的实践与认识 年：2019 期：v.49 语种：中文; 页：SSJS201904028 页数：6 CN：04 ISSN：11-2018/O1 分类号：223-228

摘要

介绍了直觉I-fuzzy拓扑空间中(r,s)直觉模糊半正规的定义,研究了直觉I-fuzzy拓扑空间中直觉弱连续、直觉弱开和直觉弱闭映射的等价定理及(r,s)直觉模糊紧,(r,s)直觉模糊殆紧、(r,s)直觉模糊几乎紧的相关定理.
        In this paper, the notion of(r, s)intuitionistic fuzzy semi-regular is given in intuitionistic I-fuzzy topological spaces.The equivalent theorem of intuitionistic weakly continuity,intuitionistic weakly open and intuitionistic weakly closed functions in intuitionistic I-fuzzy topological spaces are studied.some properties of(r, s) intuitionistic fuzzy compactness,(r, s)intuitionistic fuzzy almost compactness and(r, s)i-ntuitionistic fuzzy near compactness are also discussed.

引文

[1] Zadeh L A. Fuzzy sets[J]. Information and Control, 1965:338-353.
    [2] Chang C L. Fuzzy topological spaces[J]. Math Anal Appl, 1968:182-190.
    [3] Sostak A. On a fuzzy topological structure[J]. Rend Circ Mat Palermo(2)Suppl, 1985:89-103.
    [4] Chattopadhyay K C, Hazra R N, and Samanta S K. Gradation of openness:fuzzy topology[J].Fuzzy Sets and Systems, 1992, 49(2):237-242.
    [5] Ramadan A A. Smooth topological apaces[J]. Fuzzy Sets and Systems, 1992, 48(3):371-375.
    [6] Atanassov K T. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1):87-96.
    [7] Coker D. An introduction to intuitionistic fuzzy topological spaces[J]. Fuzzy Sets and Systems, 1997,88(1):81-89.
    [8] Tapas Kumar Mondal and Samanta S K. On intuitionistic gradation of openness[J]. Fuzzy Sets and Systems, 2002(131):323-336.
    [9] Dogan Coker and Mustafa Demirci. An introduction to intuitionistic fuzzy topological spaces in Sostak's sense[J]. BUSEFAL, 1996(67):67-76.
    [10] Lee E P, and Im Y B. Mated Fuzzy Topological Spaces[J].Fuzzy Logic and Intelligent Systems, 2001:161-165.
    [11] Ramadan A A, Abbas S E, Abd El-Lalif A A. Compactness in intuitionistic fuzzy topological spaces[J]. Math Math Sci, 2005:19-32.